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Q. Electric charge $Q, Q$ and $-2 Q$ respectively are placed at the three comers of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is

Electric Charges and Fields

Solution:

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$P_{1}=Q . a$
$P_{2}=Q . a$
$P=\sqrt{P_{1}^{2}+P_{2}^{2}+2 P_{1} P_{2} \cos \theta}$
$P_{N}=\sqrt{3} \,Q . a$